Determine whether the distribution represents a probability distribution. X 5 P(X) 0.4 Send data to Excel Part: 0/2 Part 1 of 2 6 1 . 7 0.5 8 0.4 The distribution (Choose one) represents does not represent a probability distribution. X
Determine whether the distribution represents a probability distribution. X 5 P(X) 0.4 Send data to Excel Part: 0/2 Part 1 of 2 6 1 . 7 0.5 8 0.4 The distribution (Choose one) represents does not represent a probability distribution. X
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Determine whether the distribution represents a probability distribution. (Please select one of the answers in the image attached.)
![**Determine Whether the Distribution Represents a Probability Distribution**
Given Values:
- \( X \): 5, 6, 7, 8
- \( P(X) \): 0.4, 1, 0.5, 0.4
**Task:**
Evaluate if the table above defines a valid probability distribution.
**Action:**
You can export the data to Excel using the "Send data to Excel" button.
**Steps for Evaluation:**
To determine if the distribution represents a probability distribution, check the following:
1. **All probabilities must be between 0 and 1:**
\[
0 \leq P(X) \leq 1
\]
2. **The sum of all probabilities must equal 1:**
\[
\sum P(X) = 1
\]
**Interactive Component:**
Use the dropdown menu to choose:
- "represents" if the table satisfies a probability distribution,
- "does not represent" if it does not satisfy the conditions.
**Next Steps:**
Proceed to the next part by clicking the "Next Part" button.
This exercise is designed to enhance understanding of probability distributions, focusing on the validation criteria.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2b9b7f6a-cd0d-4490-81f2-bf1728b26b7f%2F817ce5a4-9402-4143-8b1e-597ed12ee31a%2Fkz50l5_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Determine Whether the Distribution Represents a Probability Distribution**
Given Values:
- \( X \): 5, 6, 7, 8
- \( P(X) \): 0.4, 1, 0.5, 0.4
**Task:**
Evaluate if the table above defines a valid probability distribution.
**Action:**
You can export the data to Excel using the "Send data to Excel" button.
**Steps for Evaluation:**
To determine if the distribution represents a probability distribution, check the following:
1. **All probabilities must be between 0 and 1:**
\[
0 \leq P(X) \leq 1
\]
2. **The sum of all probabilities must equal 1:**
\[
\sum P(X) = 1
\]
**Interactive Component:**
Use the dropdown menu to choose:
- "represents" if the table satisfies a probability distribution,
- "does not represent" if it does not satisfy the conditions.
**Next Steps:**
Proceed to the next part by clicking the "Next Part" button.
This exercise is designed to enhance understanding of probability distributions, focusing on the validation criteria.
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